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On line solution of multivariate equations：
    First set the elements of the equation (i.e. the number of unknowns), then click the "Next" button to enter the coefficients of each element of the equation set, and click the "Next" button to obtain the solution of the equation set.
    Note that the coefficients of each element of the equation system can only be numbers, not algebraic expressions (including mathematical functions).
    Current location：Equations > Multivariate equations > Answer
detailed information：
The input equation set is:
 169x + 13y + z = 3    (1)
 
1089
4
x + 
33
2
y + z = 
5
2
    (2)
 400x + 20y + z = 
3
2
    (3)
Question solving process:

Multiply both sides of equation (1) by 1089
Divide the two sides of equation (1) by 676, the equation can be obtained:
         
1089
4
x + 
1089
52
y + 
1089
676
z = 
3267
676
    (4)
, then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
 169x + 13y + z = 3    (1)
- 
231
52
y - 
413
676
z = - 
1577
676
    (2)
 400x + 20y + z = 
3
2
    (3)

Multiply both sides of equation (1) by 400
Divide the two sides of equation (1) by 169, the equation can be obtained:
         400x + 
400
13
y + 
400
169
z = 
1200
169
    (5)
, then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
 169x + 13y + z = 3    (1)
- 
231
52
y - 
413
676
z = - 
1577
676
    (2)
- 
140
13
y - 
231
169
z = - 
1893
338
    (3)

Multiply both sides of equation (2) by 80
Divide the two sides of equation (2) by 33, the equation can be obtained:
        - 
140
13
y - 
8260
5577
z = - 
31540
5577
    (6)
, then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
 169x + 13y + z = 3    (1)
- 
231
52
y - 
413
676
z = - 
1577
676
    (2)
 
49
429
z = 
47
858
    (3)

Multiply both sides of equation (3) by 1947
Divide both sides of equation (3) by 364, get the equation：
         
413
676
z = 
2773
9464
    (7)
, then add the two sides of equation (7) to both sides of equation (2), get the equation：
 169x + 13y + z = 3    (1)
- 
231
52
y = - 
1485
728
    (2)
 
49
429
z = 
47
858
    (3)

Multiply both sides of equation (3) by 429
Divide both sides of equation (3) by 49, get the equation：
         z = 
47
98
    (8)
, then subtract both sides of equation (8) from both sides of equation (1), get the equation：
 169x + 13y = 
247
98
    (1)
- 
231
52
y = - 
1485
728
    (2)
 
49
429
z = 
47
858
    (3)

Multiply both sides of equation (2) by 676
Divide both sides of equation (2) by 231, get the equation：
        -13y = - 
585
98
    (9)
, then add the two sides of equation (9) to both sides of equation (1), get the equation：
 169x = - 
169
49
    (1)
- 
231
52
y = - 
1485
728
    (2)
 z = 
47
98
    (3)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to：
 x = - 
1
49
    (1)
 y = 
45
98
    (2)
 z = 
47
98
    (3)


Therefore, the solution of the equation set is:
x = - 
1
49
y = 
45
98
z = 
47
98


Convert the solution of the equation set to decimals:
x = -0.020408
y = 0.459184
z = 0.479592

解方程组的详细方法请参阅：《多元一次方程组的解法》
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